I'm working to make full university-level courses on mathematics, computer science, and more topics.
My goal for these courses is that they should be developed "progressively and iteratively" with user feedback. From the moment when I'm writing this, I intend to make videos short. The hope is that viewers can leave feedback--was my explanation confusing? Do you want more examples? Do you want to see more information from a different perspective, or focus on a different aspect of the topic? With short videos, I can hopefully address specific needs by inserting extra videos or re-recording ones that are inadequate.
I would love to see this develop into something like a math learning community! Exactly how that would work, I haven't planned out. But please leave feedback in comments, you're invited to engage and interact with the content here.
Also, I'm a full-time tutor for university math, CS, and some related topics. Please see my website linked below for more information.
Axiom Tutor
Question about the websites for The Real Analysis Minute! and The Abstract Algebra Minute!:
Have you visited either website?
1. If yes, do you have any feedback? I'm particularly curious for people who have a slow internet connection: Did it load adequately? It seems like it's rather slow, and I'm debating whether I should host future courses on a different service.
2. If no, also feel free to leave feedback about why not.
Thanks!
10 months ago | [YT] | 2
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Axiom Tutor
OMG I got 30 likes on a post for the first time!
It's very, very small potatoes, compared against other big channels. But it feels like a pretty great milestone for me.
I feel like I should ... give some kind of thank you to the audience? I really appreciate all the support, it definitely makes keeping up on the project more motivated.
But I'm not sure what. Any (reasonable) suggestions? Maybe release an extra video ahead of schedule or something? Or maybe a kind of one-off video on something not exactly in line with the current two series on abstract algebra and real analysis?
Thank yall for the likes and helping out the channel!
11 months ago (edited) | [YT] | 4
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Axiom Tutor
# Real Analysis - Fill in the blank exercise 3
In the proof of the group exponent law, consider the case when 0 < m < n and we are proving
x^m x^n = x^(m+n)
The first step is to write out m copies of x, followed by n copies of x.
The second step is to observe that there are now m+n copies of x.
Implicitly, going from step one to step 2 uses which algebraic property of the group operation?
1 year ago | [YT] | 3
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Axiom Tutor
# Real Analysis - Fill in the blank, exercise 2
Let X be a set, with element b. Let phi be a property of elements of X, so that either phi(b) is true or false.
To show that b is the **unique** element with property phi, one must prove __ Blank __.
1 year ago | [YT] | 0
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Axiom Tutor
Experimenting with fill-in-the-blank advanced math exercises!
Here's a (rough because notation in ASCII is tough) proof that the vector space of three dimensional real numbers under addition, (R^3, +), has an associative operation.
For any vectors u = (a,b,c) and v = (d,e,f) and w = (g,h,i) we have
u+(v+w) = (a,b,c) + ( (d,e,f) + (g,h,i) )
= (a,b,c) + (d+g, e+h, f+i)
= ( a+(d+g), ___ (Blank 1) ___, c+(f+i) )
On the other hand, by similar calculations,
(u+v)+w = ( (a+d)+g, (b+f)+h, (c+f)+i )
But by the ___ (Blank 2) ___, we have that a+(e+g) = (a+e)+g, and b+(f+h) = (b+e)+h, and c+(f+i) = (c+f)+i.
Therefore u+(v+w) = (u+v)+w, which proves the associativity of the operation.
1 year ago | [YT] | 1
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Axiom Tutor
Silly fun fact: An inch was originally defined as the length of three "barley cornes dry and round". And technically, we still kinda use this measurement. The difference in the length of one shoe size to the next is exactly ... one barleycorn.
https://youtu.be/pM3c328VifA?feature=...
1 year ago (edited) | [YT] | 0
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Axiom Tutor
Have a question about something in my measure theory & probability video series? Post it here!
1 year ago | [YT] | 1
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Axiom Tutor
Beautiful quiver in her voice.
1 year ago | [YT] | 0
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Axiom Tutor
Jesus. People talk about how this generation doesn't have protest music. Well here it is.
1 year ago (edited) | [YT] | 1
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Axiom Tutor
As I make videos this time around, I've tried to put a lot of thought into how I design them.
In particular, I try to have one side of the screen with large, focus-grabbing text that I'm currently talking about. On the other side of the screen, I shrink the text down but keep it visible as long as it might be relevant. It's harder to read, but I figured you might prefer to have it there, so that you don't have to go seeking back through the earlier parts of the video if you need to refer back to something.
But the shrunken text is harder to read, even on a big screen with the resolution set to the maximum. And impossible on a small screen.
I've been thinking: Well, this just be the kind of thing that needs a big screen.
But what do yall think?
1 year ago | [YT] | 0
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